SOLUTION: For what values of k will the system be inconsistent x=6y+6 kx-3y=6 Work please I don't know how to do this.

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Question 821830: For what values of k will the system be inconsistent
x=6y+6
kx-3y=6
Work please I don't know how to do this.
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
Inconsistent systems have no solutions
In the case of linear equations, the lines are parallel but not equal.
Parallel lines have slopes that are equal
x=6y+6
6y=x-6
y=x/6-1
kx-3y=6
kx-6=3y
y=kx/3-2
y=k/3*x-2
y=1/6*x-1
k/3=1/6
6k=3
k=1/2
if k=1/2 then the lines will have the same slope and the lines will be parallel